If 4 men reap 40 acres in 30 days, how many acres will 18 men reap in 12 days?
2023
If 4 men reap 40 acres in 30 days, how many acres will 18 men reap in 12 days?
Answer: A. 72 acres — Solution: Use man-days to relate men, days, and acres. Total man-days to reap 40 acres = 4 men × 30 days = 120 man-days. Man-days required per acre = 120…
- A.
72 acres
- B.
72.5 acres
- C.
72.8 acres
- D.
72.5 acres
Attempted by 59 students.
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Correct answer: A
Solution: Use man-days to relate men, days, and acres.
Total man-days to reap 40 acres = 4 men × 30 days = 120 man-days.
Man-days required per acre = 120 man-days ÷ 40 acres = 3 man-days per acre.
Available man-days with 18 men for 12 days = 18 × 12 = 216 man-days.
Acres reaped = 216 man-days ÷ 3 man-days per acre = 72 acres.
Answer: 72 acres.
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